## `geom_smooth()` using formula = 'y ~ x'

## `geom_smooth()` using formula = 'y ~ x'

1 Top Plans by Size & Performance

## Warning: Returning more (or less) than 1 row per `summarise()` group was deprecated in
## dplyr 1.1.0.
## ℹ Please use `reframe()` instead.
## ℹ When switching from `summarise()` to `reframe()`, remember that `reframe()`
##   always returns an ungrouped data frame and adjust accordingly.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
## `summarise()` has grouped output by 'plan'. You can override using the
## `.groups` argument.
Top 10 Plans by 23-Year Geometric Average of Investment Returns
plan geo_return_23yr mva_2023
Utah Retirement Systems, Contributory Retirement System 0.1151175 1226842000
Utah Retirement Systems, Firefighters Retirement System 0.1151175 1815120000
Utah Retirement Systems, Tier 2 Public Employees Contributory Retirement System 0.1022134 1673551000
Minnesota State Retirement System (MSRS) Judges Retirement Plan 0.1008374 268987000
Minnesota State Retirement System (MSRS) State Patrol Retirement Plan 0.0928089 943099000
Minnesota Public Employees Retirement Association (MPERA) Local Government Correctional Employees Plan 0.0919642 1067200000
Nebraska County Employees Retirement System 0.0882013 664891026
Kansas Public Employees’ Retirement System 0.0857687 25800659628
Tri-County Metro Of Oregon Bargaining Unit Defined Benefit Plan 0.0851987 708822000
Arkansas Judicial Retirement Plan 0.0832044 308094805
Top 10 Plans by 2023 Market Value of Assets
plan geo_return_23yr mva_2023
California Public Employees Retirement Fund 0.0562477 464578144000
California State Teachers Retirement System 0.0626869 316918510000
New York State & Local Employees Retirement System 0.0640965 211183223000
Texas Teacher Retirement System 0.0591390 187170535558
Florida Retirement System 0.0626076 186357365968
New York State Teachers’ Retirement System 0.0650035 137221537000
Ohio Public Employees Retirement System 0.0629870 99596000000
Virginia Retirement System 0.0621338 98127270000
Georgia Teachers Retirement System 0.0596882 94991195000
University of California Retirement System 0.0557275 88262774000

2 Statistical test

## 
## Call:
## lm(formula = return ~ log(prev_year_assets), data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.42892 -0.06232  0.01433  0.07184  0.31931 
## 
## Coefficients:
##                         Estimate Std. Error t value Pr(>|t|)    
## (Intercept)            0.0751418  0.0144753   5.191 2.16e-07 ***
## log(prev_year_assets) -0.0003422  0.0006683  -0.512    0.609    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1077 on 6249 degrees of freedom
## Multiple R-squared:  4.194e-05,  Adjusted R-squared:  -0.0001181 
## F-statistic: 0.2621 on 1 and 6249 DF,  p-value: 0.6087
## `geom_smooth()` using formula = 'y ~ x'

## 
## Call:
## lm(formula = return ~ log(prev_year_assets), data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.42892 -0.06232  0.01433  0.07184  0.31931 
## 
## Coefficients:
##                         Estimate Std. Error t value Pr(>|t|)    
## (Intercept)            0.0751418  0.0144753   5.191 2.16e-07 ***
## log(prev_year_assets) -0.0003422  0.0006683  -0.512    0.609    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1077 on 6249 degrees of freedom
## Multiple R-squared:  4.194e-05,  Adjusted R-squared:  -0.0001181 
## F-statistic: 0.2621 on 1 and 6249 DF,  p-value: 0.6087